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Related Concept Videos

Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
Relation Between the Distributed Load and Shear01:23

Relation Between the Distributed Load and Shear

Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.
Kinematic Equations - II01:17

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
Kinematic Equations - III01:18

Kinematic Equations - III

The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
Kinematic Equations - I01:26

Kinematic Equations - I

When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...

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Related Experiment Video

Updated: Jun 22, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Shear dynamo problem: Quasilinear kinematic theory.

S Sridhar1, Kandaswamy Subramanian

  • 1Raman Research Institute, Sadashivanagar, Bangalore 560 080, India. ssridhar@rri.res.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2009
PubMed
Summary
This summary is machine-generated.

Large-scale dynamo action in turbulent shear flows is investigated. The study finds that while shear-current dynamos are absent for nonhelical turbulence, large-scale dynamo action is still possible.

Related Experiment Videos

Last Updated: Jun 22, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Area of Science:

  • Astrophysics
  • Plasma Physics
  • Geophysics

Background:

  • Turbulence plays a crucial role in astrophysical and geophysical phenomena, including the generation of magnetic fields.
  • Understanding large-scale dynamo action is essential for explaining phenomena like planetary magnetic fields and galactic dynamos.

Purpose of the Study:

  • To investigate large-scale dynamo action in turbulent shear flows.
  • To analyze the influence of linear shear flow on turbulent dynamo processes.
  • To determine the conditions under which dynamo action can occur in such systems.

Main Methods:

  • A quasilinear and kinematic treatment of turbulence in the presence of linear shear flow.
  • Derivation of the integrodifferential equation for the mean magnetic field evolution.
  • Systematic use of shearing coordinate transformation and Galilean invariance.

Main Results:

  • The time evolution of cross-shear magnetic field components is independent of other components for nonhelical turbulence.
  • This independence holds for any Galilean-invariant velocity field.
  • Shear-current assisted dynamo action is found to be essentially absent under these conditions.

Conclusions:

  • Large-scale dynamo action in turbulent shear flows is complex and depends on the helical nature of turbulence.
  • While shear-current assistance is ruled out for nonhelical turbulence, other mechanisms for large-scale dynamo action remain possible.
  • The findings contribute to a deeper understanding of magnetic field generation in various physical systems.